Question

complete the input - output table for f(x)=2·√x + 1. if needed round to two decimal places.
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Explanation:

Step1: Substitute \(x = 0\)

\[2\cdot\sqrt{0}+1=2\times0 + 1=1\]

Step2: Substitute \(x = 1\)

\[2\cdot\sqrt{1}+1=2\times1 + 1=3\]

Step3: Substitute \(x = 2\)

\[2\cdot\sqrt{2}+1\approx2\times1.414+1=2.828 + 1=3.83\]

Step4: Substitute \(x = 3\)

\[2\cdot\sqrt{3}+1\approx2\times1.732+1=3.464+1 = 4.46\]

Step5: Substitute \(x = 4\)

\[2\cdot\sqrt{4}+1=2\times2+1=5\]

Step6: Substitute \(x = 5\)

\[2\cdot\sqrt{5}+1\approx2\times2.236+1=4.472 + 1=5.47\]

Step7: Substitute \(x = 6\)

\[2\cdot\sqrt{6}+1\approx2\times2.449+1=4.898+1 = 5.90\]

Step8: Substitute \(x = 7\)

\[2\cdot\sqrt{7}+1\approx2\times2.646+1=5.292+1 = 6.29\]

Step9: Substitute \(x = 8\)

\[2\cdot\sqrt{8}+1\approx2\times2.828+1=5.656+1 = 6.66\]

Step10: Substitute \(x = 9\)

\[2\cdot\sqrt{9}+1=2\times3+1=7\]

Answer:

\(x\)	\(2\cdot\sqrt{x}+1\)
\(1\)	\(3\)
\(2\)	\(3.83\)
\(3\)	\(4.46\)
\(4\)	\(5\)
\(5\)	\(5.47\)
\(6\)	\(5.90\)
\(7\)	\(6.29\)
\(8\)	\(6.66\)
\(9\)	\(7\)